Search a number
-
+
2188308168 = 23323721492
BaseRepresentation
bin1000001001101110…
…1110111011001000
312122111200120110200
42002123232323020
513440201330133
61001051012200
7105141212124
oct20233567310
95574616420
102188308168
11a23274352
12510a3a060
1328b499a07
1416a8b6584
15cc1ac913
hex826eeec8

2188308168 has 108 divisors (see below), whose sum is σ = 6132332115. Its totient is φ = 704958336.

The previous prime is 2188308107. The next prime is 2188308173. The reversal of 2188308168 is 8618038812.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2188308168 is a `hidden beast` number, since 2 + 188 + 308 + 168 = 666.

2188308168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1135824804 + 1052483364 = 33702^2 + 32442^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33078.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14686558 + ... + 14686706.

Almost surely, 22188308168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2188308168

2188308168 is an abundant number, since it is smaller than the sum of its proper divisors (3944023947).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2188308168 is a wasteful number, since it uses less digits than its factorization.

2188308168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 2188308168 is about 46779.3562161772. The cubic root of 2188308168 is about 1298.2833689254.

The spelling of 2188308168 in words is "two billion, one hundred eighty-eight million, three hundred eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 149 222 296 298 333 444 447 596 666 888 894 1192 1332 1341 1369 1788 2664 2682 2738 3576 4107 5364 5476 5513 8214 10728 10952 11026 12321 16428 16539 22052 22201 24642 32856 33078 44104 44402 49284 49617 66156 66603 88804 98568 99234 132312 133206 177608 198468 199809 203981 266412 396936 399618 407962 532824 611943 799236 815924 821437 1223886 1598472 1631848 1642874 1835829 2447772 2464311 3285748 3671658 4895544 4928622 6571496 7343316 7392933 9857244 14686632 14785866 19714488 29571732 30393169 59143464 60786338 91179507 121572676 182359014 243145352 273538521 364718028 547077042 729436056 1094154084 2188308168